Home
Class 12
MATHS
If f(x) = sinx and g(x) = x^3 then find ...

If `f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III at x=(pi)/2`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos
  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If f(x)=six x and g(x)=x^3 . Then find the vlaue of (f(x)g(x))^m at x=pi/2

If f(x)=x^3 and g(x)=x^(1/3) . Then find gof(x):

If f(x) = sqrtx and g (x) = x/4 then what is (g of) (x).?

If f(x) = x +7 and g(x) = x-7, x in R then find fog (6).

If f(x)=27x^(3) and g(x) =x^(1//3) . Then, find gof(x).

If f(x)=x ^(3) + e ^(x/2) and g(x) = f(x)' then what is the value of g'(1)' ?

If f: RrarrR,g :RrarrR and h : RrarrR such that f(x)= x^2, g(x) = tan x and h(x)= log x then find [ho (gof)] (x) at x = sqrtpi/2

If f(x)=cos^(-1)(sinx) , then find f'.(x)

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. Find (dy)/(dx)when y=10^(sin x).

    Text Solution

    |

  2. If F(x)= intx^(x^2)e^(-t^4) dt then find F^1(x).

    Text Solution

    |

  3. If f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III ...

    Text Solution

    |

  4. Find the derivative of sin^(-1)((2x^3)/(1+x^6)).

    Text Solution

    |

  5. Find the derivative of tan^(-1)(cos^2x).

    Text Solution

    |

  6. Examine the differentiability of ln x^(2) for all real values of x.

    Text Solution

    |

  7. Find (dy)/(dx) when y=tan^(-1) ((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x)...

    Text Solution

    |

  8. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

    Text Solution

    |

  9. Find (dy)/(dx) wheny=x^y.

    Text Solution

    |

  10. If 2z=x(2+(dz)/(dx)), then prove that (d^(2)z)/(dx^(2)) is a constant.

    Text Solution

    |

  11. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  12. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

    Text Solution

    |

  13. If (cosx)^(y)=(cosy)^(x), then find (dy)/(dx).

    Text Solution

    |

  14. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)), then show that (dy)/(d...

    Text Solution

    |

  15. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t x.

    Text Solution

    |

  16. If y=(tan^(-1)x)^2 then show that (x^2+1)^2 (d^2y)/(dx^2)+2x(x^2+1)((d...

    Text Solution

    |

  17. If y=x^(sinx-cosx)+(x^(2)-1)/(x^(2)+1), then find (dy)/(dx)

    Text Solution

    |

  18. If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...

    Text Solution

    |

  19. If x= cos t+ log tan t/2 and y = sin t, then find the value of (d^2y)/...

    Text Solution

    |

  20. If xsqrt(1+y)+ysqrt(1+x)=0 for -1ltx,ylt1 then prove that (dy)/(dx)=(-...

    Text Solution

    |